Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = x3(i) [2.9, 3.1] (ii) [2.99, 3.01] (iii) [2.999, 3.001]

A. (i) 9.03; (ii) 9.0003; (iii) 9.000003; approaches 9.
B. (i) 27.01; (ii) 27.0001; (iii) 27.000001; approaches 27.
C. (i) 0.90033333; (ii) 0.09000033; (iii) 0.009; approaches 1.
D. (i) 6; (ii) 6; (iii) 6; approaches 6.


Answer: B

Mathematics

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A.

B.

C.

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B.

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D.

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